Mathematics

Question

Select the correct answer.
If 21% of males and 15% of females in a given state play the guitar, what is the probability that a randomly selected subject in the state plays the guitar, given that the subject is male?
A.
0.15
B.
0.21
C.
0.79
D.
0.85

2 Answer

  • Answer:

      B.  0.21

    Step-by-step explanation:

    The problem statement tells you 21% of males play the guitar. That means the probability is 0.21 that a randomly chosen male will play the guitar.

  • Answer:

    The probability that a randomly selected subject in the state plays the guitar is:

    0.21

    Step-by-step explanation:

    Let 'x' be the number of male.

    Now it is given that 21% of males play the guitar.

    That means 21% of x play the guitar.

    i.e. 21%×x play the guitar.

    Hence, the probability that a randomly selected subject in the state plays the guitar, given that the subject is male is calculated as:

    Probability=( number of male members playing the guitar)/(Total number of males)

    Probability=0.21

    Hence, Probability is 0.21

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